For the following exercise, determine the range (possible values) of the random variable, X. A batch of 300 machined parts contains 8 that do not conform to customer requirements. The random variable is the number of parts in a sample of 4 parts that do not conform to customer requirements. Choose the correct answer. O The range of X is [0, 1,2, 3, 4, 5, 6 The range of X is 10, 1,2,3) O The range of X is [0, 1,2,3,4 O The range of X is [0, 1, 2, 3, 4, 5) O The range of X is (0, 1,2, 3, 4, 5, 6,7

Question

Mathematics

Adolfo Compton

21 June, 18:07

For the following exercise, determine the range (possible values) of the random variable, X. A batch of 300 machined parts contains 8 that do not conform to customer requirements. The random variable is the number of parts in a sample of 4 parts that do not conform to customer requirements. Choose the correct answer. O The range of X is [0, 1,2, 3, 4, 5, 6 The range of X is 10, 1,2,3) O The range of X is [0, 1,2,3,4 O The range of X is [0, 1, 2, 3, 4, 5) O The range of X is (0, 1,2, 3, 4, 5, 6,7

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Answers (1)

Know the Answer?

Alvaro Huffman · Answer 1

[0, 1,2,3,4]

Step-by-step explanation:

The random variable is the number of parts in a sample of 4 parts that do not conform to customer requirements.

Options for range:

a) [0, 1,2, 3, 4, 5, 6]

b) [0, 1,2,3,4]

c) [0, 1, 2, 3, 4, 5)

d) (0, 1,2, 3, 4, 5, 6,7)

If the sample is of size n=4, the maximum value X can take is 4. It also can happen that none of the defective parts end in the sample. All the values in between 0 and 4 are possible. Therefore, X can take the values 0, 1, 2, 3 and 4.

The answer is option b: [0, 1,2,3,4]